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Simplifying 4x + 10 = 2(6x + -3) Reorder the terms: 10 + 4x = 2(6x + -3) Reorder the terms: 10 + 4x = 2(-3 + 6x) 10 + 4x = (-3 * 2 + 6x * 2) 10 + 4x = (-6 + 12x) Solving 10 + 4x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + 4x + -12x = -6 + 12x + -12x Combine like terms: 4x + -12x = -8x 10 + -8x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -8x = -6 + 0 10 + -8x = -6 Add '-10' to each side of the equation. 10 + -10 + -8x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -6 + -10 -8x = -6 + -10 Combine like terms: -6 + -10 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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